{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Thermal Expansion\n",
    "## Introduction\n",
    "A given crystal should have a well defined average lattice constant at a given pressure and temperature. Here we use silicon as an example to show how to calculate lattice constants using <code>GPUMD</code>. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Importing Relevant Functions\n",
    "The inputs/outputs for GPUMD are processed using the [Atomic Simulation Environment (ASE)](https://wiki.fysik.dtu.dk/ase/) package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "from ase.lattice.cubic import Diamond\n",
    "from ase.io import write"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preparing the Inputs\n",
    "We use a cubic system (of diamond structure) consisting of $10^3\\times 8 = 8000$ silicon atoms and use the minimal Tersoff potential [Fan (2020)](https://doi.org/10.1088/1361-648X/ab5c5f).\n",
    "\n",
    "### Generate the  [model.xyz](https://gpumd.org/gpumd/input_files/model_xyz.html) file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lattice(symbols='Si8000', pbc=True, cell=[54.3, 54.3, 54.3])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Si = Diamond('Si', size=(10,10,10))\n",
    "Si"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "write(\"model.xyz\", Si)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first few lines of the [model.xyz](https://gpumd.org/gpumd/input_files/model_xyz.html) file are:\n",
    "```\n",
    "8000\n",
    "Lattice=\"54.3 0.0 0.0 0.0 54.3 0.0 0.0 0.0 54.3\" Properties=species:S:1:pos:R:3 pbc=\"T T T\"\n",
    "Si       0.00000000       0.00000000       0.00000000\n",
    "Si       1.35750000       1.35750000       1.35750000\n",
    "Si       2.71500000       2.71500000       0.00000000\n",
    "Si       4.07250000       4.07250000       1.35750000\n",
    "```\n",
    "Explanations for the first line:\n",
    "\n",
    "- The first number states that the number of particles is 8000.\n",
    "\n",
    "Explanations for the second line:\n",
    "\n",
    "- This line consists of a number of `keyword=value` pairs separated by spaces. Spaces before and after `=` are allowed. All the characters are case-insensitive.\n",
    "- `lattice=\"ax ay az bx by bz cx cy cz\"` gives the box vectors.\n",
    "- `properties=property_name:data_type:number_of_columns`. We only read the following items:\n",
    "  - `species:S:1` atom type (Mandatory)\n",
    "  - `pos:R:3` position vector (Mandatory)\n",
    "  - `mass:R:1` mass (Optional: default mass values will be used when this is missing), not included here.\n",
    "  - `vel:R:3` velocity vector (Optional), not included here.\n",
    "  - `group:I:number_of_grouping_methods` grouping methods (Optional), not included here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The `run.in` file:\n",
    "The [run.in input file](https://gpumd.org/gpumd/input_files/run_in.html) is given below:<br>\n",
    "```\n",
    "potential   ../../../potentials/tersoff/Si_Fan_2019.txt\n",
    "velocity    100\n",
    "\n",
    "ensemble    npt_ber 100 100 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "time_step   1\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 200 200 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 300 300 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 400 400 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 500 500 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 600 600 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 700 700 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 800 800 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 900 900 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "\n",
    "ensemble    npt_ber 1000 1000 100 0 0 0 53.4059 53.4059 53.4059 2000\n",
    "dump_thermo 10\n",
    "run         20000\n",
    "```\n",
    "The first line uses the [potential](https://gpumd.org/gpumd/input_parameters/potential.html) keyword to define the potential to be used, which is specified in the file [Si_Fan_2019.txt](https://github.com/brucefan1983/GPUMD/blob/master/potentials/tersoff/Si_Fan_2019.txt).\n",
    "\n",
    "The second line uses the [velocity](https://gpumd.org/gpumd/input_parameters/velocity.html) keyword and sets the velocities to be initialized with a temperature of 100 K. \n",
    "\n",
    "The following 4 lines define the first [run](https://gpumd.org/gpumd/input_parameters/run.html). This [run](https://gpumd.org/gpumd/input_parameters/run.html) will be in the NPT [ensemble](https://gpumd.org/gpumd/input_parameters/ensemble.html), using the Berendsen method. The temperature is 100 K and the pressures are zero in all the directions. The coupling constants are 100 and 2000 time steps for the thermostat and the barostat (The elastic constant, or inverse compressibility parameter needed in the barostat is estimated to be 53.4059 GPa; this only needs to be correct up to the order of magnitude.), respectively. The [time_step](https://gpumd.org/gpumd/input_parameters/time_step.html) for integration is 1 fs. There are $2\\times 10^4$ steps for this [run](https://gpumd.org/gpumd/input_parameters/run.html) and the thermodynamic quantities will be output every 10 steps. \n",
    "\n",
    "After this run, there are 9 other runs with the same parameters but different target temperatures. Note that the time step only needs to be set once if one wants to use the same time step in the whole simulation. In contrast, one has to use the [dump_thermo](https://gpumd.org/gpumd/input_parameters/dump_thermo.html) keyword for each run in order to get outputs for each run. That is, we can say that the [time_step](https://gpumd.org/gpumd/input_parameters/time_step.html) keyword is propagating and the [dump_thermo](https://gpumd.org/gpumd/input_parameters/dump_thermo.html) keyword is non-propagating."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results and Discussion\n",
    "Using a GeForce RTX 2080 Ti GPU, the NEMD simulation takes about 1.5 minutes. The speed of the run is about $1.6\\times 10^7$ atom x step / second. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figure Properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "aw = 2\n",
    "fs = 16\n",
    "font = {'size'   : fs}\n",
    "matplotlib.rc('font', **font)\n",
    "matplotlib.rc('axes' , linewidth=aw)\n",
    "\n",
    "def set_fig_properties(ax_list):\n",
    "    tl = 8\n",
    "    tw = 2\n",
    "    tlm = 4\n",
    "    \n",
    "    for ax in ax_list:\n",
    "        ax.tick_params(which='major', length=tl, width=tw)\n",
    "        ax.tick_params(which='minor', length=tlm, width=tw)\n",
    "        ax.tick_params(which='both', axis='both', direction='in', right=True, top=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot Thermal Expansion\n",
    "The output file [thermo.out](https://gpumd.org/gpumd/output_files/thermo_out.html) contains many useful data. Here, we load the results and plot the data in the following figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Thermo quantities: ['temperature', 'K', 'U', 'Px', 'Py', 'Pz', 'Pyz', 'Pxz', 'Pxy', 'Lx', 'Ly', 'Lz']\n"
     ]
    }
   ],
   "source": [
    "labels_thermo = ['temperature', 'K', 'U', 'Px', 'Py', 'Pz', 'Pyz', 'Pxz', 'Pxy', 'Lx', 'Ly', 'Lz']\n",
    "thermo_array = np.loadtxt(\"thermo.out\")\n",
    "\n",
    "thermo = dict()\n",
    "for label_num, label in enumerate(labels_thermo):\n",
    "    thermo[label] = thermo_array[:, label_num]\n",
    "    \n",
    "print(\"Thermo quantities:\", list(thermo.keys()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = 0.01*np.arange(1,thermo['temperature'].shape[0]+1) # [ps]\n",
    "NC = 10  # Number of cells in each direction\n",
    "NT = 10  # Number of temperature steps\n",
    "temp = np.arange(100,1001,100)\n",
    "M = thermo['temperature'].shape[0]//NT\n",
    "a = (thermo['Lx']+thermo['Ly']+thermo['Lz'])/(3*NC)\n",
    "Pave = (thermo['Px']+thermo['Py']+thermo['Pz'])/3.\n",
    "a_ave = a.reshape(NT, M)[:,M//2+1:].mean(axis=1)\n",
    "fit = np.poly1d(np.polyfit(temp, a_ave, deg=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(12,10))\n",
    "subplot(2,2,1)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, thermo['temperature'])\n",
    "xlim([0, 200])\n",
    "gca().set_xticks(range(0,201,50))\n",
    "ylim([0, 1100])\n",
    "gca().set_yticks(range(0,1101,500))\n",
    "ylabel('Temperature (K)')\n",
    "xlabel('Time (ps)')\n",
    "title('(a)')\n",
    "\n",
    "subplot(2,2,2)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, Pave)\n",
    "xlim([0, 200])\n",
    "gca().set_xticks(range(0,201,50))\n",
    "ylim([-0.1, 0.4])\n",
    "gca().set_yticks(np.arange(-1,5)/10)\n",
    "ylabel('Pressure (GPa)')\n",
    "xlabel('Time (ps)')\n",
    "title('(b)')\n",
    "\n",
    "subplot(2,2,3)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, a,linewidth=3)\n",
    "xlim([0, 200])\n",
    "gca().set_xticks(range(0,201,50))\n",
    "ylim([5.43, 5.48])\n",
    "gca().set_yticks([5.44,5.46,5.48])\n",
    "ylabel(r'a ($\\AA$)')\n",
    "xlabel('Time (ps)')\n",
    "title('(c)')\n",
    "\n",
    "subplot(2,2,4)\n",
    "set_fig_properties([gca()])\n",
    "Tpoly = [0, 1100]\n",
    "plot(Tpoly, fit(Tpoly),color='C3')\n",
    "scatter(temp, a_ave,s=200,zorder=100,facecolor='none',edgecolors='C0',linewidths=3)\n",
    "xlim([0, 1100])\n",
    "gca().set_xticks(range(0,1101,500))\n",
    "ylim([5.43, 5.48])\n",
    "gca().set_yticks([5.44,5.46,5.48])\n",
    "ylabel(r'a ($\\AA$)')\n",
    "xlabel('Temperature (K)')\n",
    "title('(d)')\n",
    "\n",
    "tight_layout()\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**(a)** Instant temperature as a function of simulation time. **(b)** Instant pressure as a function of simulation time. **(c)** Instant lattice constant as a function of simulation time. **(d)** Averaged lattice constant (over the last 10 ps in each run for a given temperature) as a function of temperature."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additional figure notes:\n",
    "\n",
    "1. The temperature for each run quickly reaches the target temperature (with fluctuations).\n",
    "2. The pressure (averaged over the three directions) for each run quickly reaches the target pressure zero (with fluctuations).\n",
    "3. The lattice constant (averaged over the three directions) for each run reaches a plateau (with fluctuations) after some steps.\n",
    "4. We calculate the average lattice constant at each temperature by averaging the second half of the data for each run. The average lattice constants at different temperatures can be well fit by a linear function, with the thermal expansion coefficient being estimated to be $\\alpha \\approx 7.2 \\times 10^{-6}\\,\\mathrm{K}^{-1}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "* Zheyong Fan, Yanzhou Wang, Xiaokun Gu, Ping Qian, Yanjing Su, and Tapio Ala-Nissila, [A minimal Tersoff potential for diamond silicon with improved descriptions of elastic and phonon transport properties](https://doi.org/10.1088/1361-648X/ab5c5f), J. Phys.: Condens. Matter **32** 135901 (2020)."
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
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